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Molecular Physics
An International Journal at the Interface Between Chemistry and Physics
Volume 16, 1969 - Issue 3
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Original Articles

Pair distribution function for fluid hard spheres

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Pages 217-223 | Received 23 Oct 1968, Published online: 11 Aug 2006
 

Abstract

The pair distribution function of a system of fluid hard spheres is calculated by means of a simple generalization of the Percus-Yevick theory. A relation between the pair distribution function and the direct correlation function which leads to self-consistent results from the pressure and compressibility equations of state and which is similar, but not identical, to a proposal of Rowlinson, is postulated. This relation leads to an excellent equation of state for fluid hard spheres. Furthermore, in contrast to previous generalizations of the Percus-Yevick theory, this approach makes use only of the results of the Percus-Yevick theory and does not require the solution of a new integral equation.

Work supported by the U.S. Department of the Interior, Office of Saline Water and the National Research Council of Canada.

Work supported by the U.S. Department of the Interior, Office of Saline Water and the National Research Council of Canada.

Notes

Work supported by the U.S. Department of the Interior, Office of Saline Water and the National Research Council of Canada.

Additional information

Notes on contributors

D. Henderson

Alfred P. Sloan Foundation Fellow.

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